Question
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Guadalupe is on a hiking trail that goes north to south. If Guadalupe hikes miles north, her elevation, in
feet, can be found using the function . Negative values would find the elevation if
Guadalupe hiked south. Find and interpret the given function values and determine an appropriate domain
for the function.
Answer Altemph out or ?
, means if Guadalupe hikes 3 miles to the
feet. This interpretation
, means if Guadalupe hikes 6 miles to the
This interpretation
, her elevation would be
feet. This interpretation
Based on the observations above, it is clear that an appropriate domain for the function is of the problem,

Ask by Schofield Harris. in the United States
Mar 07,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

means if Guadalupe hikes 3 miles south, her elevation is 151 feet.
means if she hikes 6 miles north, her elevation is 214 feet.
means hiking 7.5 miles north results in an elevation of 240.25 feet.
An appropriate domain for the function is all real numbers, representing any distance she can hike on the trail.

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Bonus Knowledge

Let’s break that down with a sprinkle of fun!
To find : Plugging in -3 gives us . So, if Guadalupe hikes 3 miles south, her elevation would be 151 feet. This means she’s still got a pretty nice view!
Now, for : Plugging in 6 results in . That means if she hikes 6 miles north, she’ll be at an elevation of 214 feet, climbing higher than a bear in a tree!
Finally, when we evaluate : We get . So if she hiked 7.5 miles north, her elevation would be feet, soaring like an eagle!
As for the domain of this function, since negative values represent hiking south and positive values represent hiking north, we can say the appropriate domain is all real numbers, reflecting that Guadalupe can hike both directions on the trail! What an adventure!

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